Nguyên hàm của hàm số $% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOzamaabm % aabaGaamiEaaGaayjkaiaawMcaaiabg2da9iaadIhacqGHRaWkcaaI % YaWaaWbaaSqabeaacaWG4baaaaaa!3E30! f\left( x \right) = x + {2^x}$ là:

\int f (x) d x = \frac{x^{2}}{2} + \frac{2^{x}}{\ln 2} + C

$% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaa8qaaeaaca % WGMbWaaeWaaeaacaWG4baacaGLOaGaayzkaaGaaeizaiaadIhaaSqa % beqaniabgUIiYdGccqGH9aqpdaWcaaqaaiaadIhadaahaaWcbeqaai % aaikdaaaaakeaacaaIYaaaaiabgUcaRmaalaaabaGaaGOmamaaCaaa % leqabaGaamiEaaaaaOqaaiGacYgacaGGUbGaaGOmaaaacqGHRaWkca % WGdbaaaa!483C! \int {f\left( x \right){\rm{d}}x} = \frac{{{x^2}}}{2} + \frac{{{2^x}}}{{\ln 2}} + C$

\int f (x) d x = 1 + \frac{2^{x}}{\ln 2} + C

$% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaa8qaaeaaca % WGMbWaaeWaaeaacaWG4baacaGLOaGaayzkaaGaaeizaiaadIhaaSqa % beqaniabgUIiYdGccqGH9aqpcaaIXaGaey4kaSYaaSaaaeaacaaIYa % WaaWbaaSqabeaacaWG4baaaaGcbaGaciiBaiaac6gacaaIYaaaaiab % gUcaRiaadoeaaaa!463B! \int {f\left( x \right){\rm{d}}x} = 1 + \frac{{{2^x}}}{{\ln 2}} + C$

\int f (x) d x = \frac{x^{2}}{2} + 2^{x} + C

$% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaa8qaaeaaca % WGMbWaaeWaaeaacaWG4baacaGLOaGaayzkaaGaaeizaiaadIhaaSqa % beqaniabgUIiYdGccqGH9aqpdaWcaaqaaiaadIhadaahaaWcbeqaai % aaikdaaaaakeaacaaIYaaaaiabgUcaRiaaikdadaahaaWcbeqaaiaa % dIhaaaGccqGHRaWkcaWGdbaaaa!458C! \int {f\left( x \right){\rm{d}}x} = \frac{{{x^2}}}{2} + {2^x} + C$

\int f (x) d x = \frac{x^{2}}{2} + 2^{x} \ln 2 + C

$% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaa8qaaeaaca % WGMbWaaeWaaeaacaWG4baacaGLOaGaayzkaaGaaeizaiaadIhaaSqa % beqaniabgUIiYdGccqGH9aqpdaWcaaqaaiaadIhadaahaaWcbeqaai % aaikdaaaaakeaacaaIYaaaaiabgUcaRiaaikdadaahaaWcbeqaaiaa % dIhaaaGcciGGSbGaaiOBaiaaikdacqGHRaWkcaWGdbaaaa!482C! \int {f\left( x \right){\rm{d}}x} = \frac{{{x^2}}}{2} + {2^x}\ln 2 + C$

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Môn: Toán Lớp 12

Chủ đề: Nguyên Hàm - Tích Phân Và Ứng Dụng

Bài: Nguyên hàm